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140152545441040 = 245111487352730367
BaseRepresentation
bin11111110111011111001110…
…101011110111010100010000
3200101020110012212101212010211
4133313133032223313110100
5121332224403113103130
61214025105053133504
741343454505115166
oct3767371653672420
9611213185355124
10140152545441040
11407253a714a980
1213876603a8a294
13602843643c592
1426875c2b5b236
151130a517c0a2a
hex7f77ceaf7510

140152545441040 has 160 divisors (see below), whose sum is σ = 355829449457664. Its totient is φ = 50914171768320.

The previous prime is 140152545440911. The next prime is 140152545441071. The reversal of 140152545441040 is 40144545251041.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 140152545440984 and 140152545441002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4615275937 + ... + 4615306303.

Almost surely, 2140152545441040 is an apocalyptic number.

140152545441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140152545441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914724728832).

140152545441040 is an abundant number, since it is smaller than the sum of its proper divisors (215676904016624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140152545441040 is a wasteful number, since it uses less digits than its factorization.

140152545441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35405 (or 35399 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

The spelling of 140152545441040 in words is "one hundred forty trillion, one hundred fifty-two billion, five hundred forty-five million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1487 2974 3527 5948 7054 7435 11896 14108 14870 16357 17635 23792 28216 29740 30367 32714 35270 38797 56432 59480 60734 65428 70540 77594 81785 118960 121468 130856 141080 151835 155188 163570 193985 242936 261712 282160 303670 310376 327140 334037 387970 485872 607340 620752 654280 668074 775940 1214680 1308560 1336148 1551880 1670185 2429360 2672296 3103760 3340370 5244649 5344592 6680740 10489298 13361480 20978596 26223245 26722960 41957192 45155729 52446490 57691139 83914384 90311458 104892980 107104409 115382278 180622916 209785960 214208818 225778645 230764556 288455695 361245832 419571920 428417636 451557290 461529112 496713019 535522045 576911390 722491664 856835272 903114580 923058224 993426038 1071044090 1153822780 1178148499 1713670544 1806229160 1986852076 2142088180 2307645560 2356296998 2483565095 3612458320 3973704152 4284176360 4615291120 4712593996 4967130190 5890742495 7947408304 8568352720 9425187992 9934260380 11781484990 18850375984 19868520760 23562969980 39737041520 47125939960 94251879920 159264256183 318528512366 637057024732 796321280915 1274114049464 1592642561830 1751906818013 2548228098928 3185285123660 3503813636026 6370570247320 7007627272052 8759534090065 12741140494640 14015254544104 17519068180130 28030509088208 35038136360260 70076272720520 140152545441040